Question

What is the axis of symmetry for the quadratic in vertex form
y=(x+4)^2 -4

Answer 1

• -4

Task :

• To work out the axis of symmetry for the given quadratic in vertex form

Solution :

We know that,

• Axis of symmetry (x) = x-coordinate of the vertex (h)

The quadratic equation in vertex form is given by,

• 
  `y = (x - h) {}^(2) + k`

wherein,

• (h,k) = co-ordinates of the vertex

Comparing it with the given quadratic,we get,

• h = -4
• k = -4

Thus,

• Axis of symmetry = - 4